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Finding the Fourth Proportional to 5,832.33, 8,738.76 and 4,097.85

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Solution

The fourth proportional to 5,832.33, 8,738.76 and 4,097.85 is: 6,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.33 : 8,738.76 = 4,097.85 : x
  2. Step 2: Convert to fraction form
    5,832.33/8,738.76 = 4,097.85/x
  3. Step 3: Cross multiply
    5,832.33x = 8,738.76 × 4,097.85
  4. Step 4: Simplify right side
    5,832.33x = 35,810,107.18
  5. Step 5: Solve for x
    x = 35,810,107.18/5,832.33
  6. Step 6: Final answer
    x = 6,139.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.